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Hawaii Department of Education - Professional Development in Oahu

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Hawaii Department of Education - Professional Development in Oahu

1. 1. Slides are available at www.banhar.blogspot.com Helping Students Learn Mathematics What & How of Singapore Math Dr. Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com www.facebook.com/MCISingapore
2. 2. Synopsis This course focuses on teaching basic skills and concepts including the four basic operations – we will see lessons on addition (grade one) as well as multiplication (grade two) and division (grade three). In addition, we will see a lesson on division involving fraction (grade five). Dr. Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com We will one example of practice lesson (refer to the green book). There is a similar course that focuses on problem solving.
3. 3. population = 5.3 million area = 225 square miles
4. 4. durian
5. 5. “Upon separation from Malaysia in 1965, Singapore was faced with … high levels of unemployment and poverty. 70% of Singapore’s households lived in badly overcrowded conditions, and a third of its people squatted in slums on the city fringes. Unemployment averaged 14%, GDP per capita was less than \$2,700, and half of the population was illiterate. “
6. 6. Score 1960-1970s 1980s 1990s 2000s 500’s Japan Hong Kong Japan Korea Hong Kong Japan Korea Singapore Hong Kong Japan Korea Singapore 400’s Thailand Philippines Singapore Thailand Malaysia Thailand Malaysia Thailand Indonesia Philippines Indonesia Philippines 300’s | Hanusek, Jamison, Jamison & Woessmann 2008
7. 7. Country GDP per capita in current USD 2012 Singapore 60,800 Malaysia 16,800 Thailand 9,500 Indonesia 4,900 Philippines 4,400 Source | IMF
8. 8. | Hanusek, Jamison, Jamison & Woessmann 2008
9. 9. What is Essential in Mathematics Literacy Let’s look at what international assessment (PISA) for 15-year-olds and Smarter Balanced Assessment for Hawaii State test suggest.
10. 10. PISA 2012 Assessment
11. 11. Source | PISA2012
12. 12. Source | PISA2012
13. 13. Source | PISA2012
14. 14. Source | PISA2012
15. 15. Country % of Low Performers % of High Performers Mean Singapore 8.3 40.0 573 Vietnam 14.2 13.3 511 Thailand 49.7 2.6 427 Malaysia 51.8 1.3 421 Indonesia 75.7 0.3 375 OECD 23.1 12.6 494 | PISA 2012
16. 16. Country % of Low Performers % of High Performers Mean Shanghai 3.8 55.4 613 Singapore 8.3 40.0 573 Hong Kong 8.5 33.7 561 South Korea 9.1 30.9 554 Japan 11.1 23.7 536 Finland 12.3 15.3 519 OECD 23.1 12.6 494 | PISA 2012
17. 17. Smarter Balanced Assessment
18. 18. | Smarter Balanced Assessment
19. 19. | Smarter Balanced Assessment
20. 20. | Smarter Balanced Assessment
21. 21. | Smarter Balanced Assessment
22. 22. | Smarter Balanced Assessment
23. 23. | Smarter Balanced Assessment
24. 24. What is Essential in Mathematics Literacy What should students be learning in mathematics and what are the implications for classroom practices?
25. 25. What is Essential in Mathematics Literacy What should students be learning in mathematics and what are the implications for classroom practices? communication metacognition number sense visualization patterns
26. 26. The Fundamentals of Singapore Math
27. 27. Summary of Oahu’s Discussion Anchor Task • Problem-solving Approach (Polya) • Concrete – Pictorial – Abstract Approach (Bruner) • Work in Groups and Talking (Vygotsky) • Student-generated Ideas (Piaget) • Progression from Literal to Abstract Ideas • Questions for Self-directed Learning Teacher Board Writing Mini White Boards Student Journal • Promotes communication • Allows for assessment
28. 28. Three-Part Lesson  Anchor Task  Guided Practice  Independent Practice
29. 29. | Common Core State Standards
30. 30. What Does Teaching for Relational / Conceptual Understand Look Like?
31. 31. Teaching for Meaning Making Concrete Materials Students are given bags of 6 beans each Anchor Task How many beans in 4 such bags? Students Talking Multiple Responses Count all Repeated addition Multiplication Board Writing Student Journal Meaning Making 4 x 6 is the same as 4 bags of 6 beans. Also linking new materials (multiplication) to old materials (addition).
32. 32. Teaching for Meaning Making How do I know if I have taught in a meaningful way? • Link to previous knowledge • Link to a concrete scenario • Students can extend their thinking.
33. 33. Teaching for Meaning Making
34. 34. Teaching for Meaning Making Use of Textbooks Suggest the kind of anticipated responses (add another six, double, associative property and subtraction strategy) As a reflection tool for students at the end of the discussion (“Let’s see how they do it.”)